(D) Using the ideal gas equation: $PV = nRT$Given: $P = 200 \, Pa$,$V = 10 \, m^3$,$T = 1000 \, K$,$n = (0.5 + x) \, mol$.Substituting the values: $20

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(D) Using the ideal gas equation: $PV = nRT$Given: $P = 200 \, Pa$,$V = 10 \, m^3$,$T = 1000 \, K$,$n = (0.5 + x) \, mol$.Substituting the values: $200 \times 10 = (0.5 + x) \times R \times 1000$$2000 = (0.5 + x) \times 1000R$$2 = (0.5 + x)R$$\frac{2}{R} = 0.5 + x$$x = \frac{2}{R} - 0.5$$x = \frac{2 - 0.5R}{R} = \frac{4 - R}{2R}$

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Medium

$0.5 \, mol$ of gas $A$ and $x \, mol$ of gas $B$ exert a pressure of $200 \, Pa$ in a container of volume $10 \, m^3$ at $1000 \, K$. Given $R$ is the gas constant in $J \, K^{-1} \, mol^{-1}$,$x$ is

JEE MAIN 2019 All JEE MAIN

A
$\frac{2R}{4 + R}$
B
$\frac{2R}{4 - R}$
C
$\frac{4 + R}{2R}$
D
$\frac{4 - R}{2R}$

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Class 11

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States of Matter

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Ideal gas equation and Related gas laws

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MediumAIPMT 1989

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Medium

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Medium

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For a fixed amount of gas,the volume is $x \ L$ at a pressure of $y \ atm$ and a temperature of $z \ K$. At which of the following conditions will the volume remain $x \ L$? (Consider $y \neq z$)

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$0.5 \, mol$ of gas $A$ and $x \, mol$ of gas $B$ exert a pressure of $200 \, Pa$ in a container of volume $10 \, m^3$ at $1000 \, K$. Given $R$ is the gas constant in $J \, K^{-1} \, mol^{-1}$,$x$ is

Similar Questions

Pressure remaining the same,the volume of a given mass of an ideal gas increases for every degree centigrade rise in temperature by a definite fraction of its volume at:

An open vessel at $27\,^oC$ is heated such that $\frac{3}{5}$ of the air in it is expelled. Assuming the volume of the vessel remains constant,calculate the temperature in $K$ to which the vessel was heated.

$34.05 \ mL$ of phosphorus vapor weighs $0.0625 \ g$ at $546 \ ^oC$ and $0.1 \ bar$ pressure. What is the molar mass of phosphorus (in $g/mol$)?

According to Charles's Law,what is the slope of the graph of volume versus temperature? ($V_0$ is the volume of the gas at $0\,^{\circ}C$ and $V_t$ is the volume of the gas at $t\,^{\circ}C$)

For a fixed amount of gas,the volume is $x \ L$ at a pressure of $y \ atm$ and a temperature of $z \ K$. At which of the following conditions will the volume remain $x \ L$? (Consider $y \neq z$)

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